Knight maths quest: fractions

Quick answer

Fractions are parts of a whole, and in a Knight maths quest, you might need to split treasure, food, or maps into equal parts so that everyone gets a fair share. You can use fractions to show how many parts you have compared to how many parts the whole is split into.

Learning outcome

By the end of this page, you will be able to understand what fractions are, how to show them with pictures and numbers, and how to share things equally using fractions.

• You can show a fraction like 1/2 by splitting something into two equal parts
• You can match a fraction to a picture or a real-life situation
• You can compare two fractions to see which is bigger
• You can share items fairly using fractions

Why this matters

Fractions are important because they help us share things fairly, like food, treasure, or even parts of a map in your knight adventure. When you understand fractions, you can make sure everyone gets their fair share. Fractions are also used in cooking, telling time, measuring, and even in games and sports!

How it works

Think of fractions like a shield that is split into equal parts. If your shield is divided into 4 parts and 1 part is painted, we say 1 out of 4 parts is painted. This is written as 1/4.

1. Split something into equal parts – For example, cut a pizza into 8 equal slices
2. Count how many parts the whole is split into – This number goes on the bottom of the fraction (denominator)
3. Count how many parts you have – This number goes on the top of the fraction (numerator)
4. Write the fraction – For example, if you have 3 slices out of 8, that’s 3/8

Examples you can see

Imagine you and your friends are on a quest to find treasure. You find a treasure map that is 12 inches long. You want to split it into 3 equal parts so each friend gets a piece. How much of the map does each friend get?

• The map is split into 3 equal parts
• Each friend gets 1 part out of 3
• Each friend gets 1/3 of the map

Another example: You have 6 apples and want to share them equally among 2 friends. How many apples does each friend get?

• 6 apples split into 2 equal groups
• Each group gets 3 apples
• Each friend gets 3/6 of the apples, which is the same as 1/2

Here’s a visual way to think about it:

Try it as a mini adventure

You are on a quest to help the kingdom’s knights divide their food for the tournament. You have 12 pieces of bread and 4 knights. Each knight needs to get the same amount. How much bread does each knight get?

1. Split 12 pieces of bread into 4 equal groups
2. Count how many pieces are in each group
3. Each knight gets 3 pieces out of 12
4. So each knight gets 3/12 of the bread
5. But 3/12 is the same as 1/4 – so each knight gets 1/4 of the bread

Now, imagine you have a shield that is 8 inches wide. You want to paint 2 inches of it. What fraction of the shield is painted?

1. Shield is 8 inches wide
2. You paint 2 inches
3. Painted part is 2/8 of the shield
4. This can be simplified to 1/4

Common mistakes

• Mistake: Thinking that 1/3 is bigger than 1/2 because 3 is bigger than 2
  Why it happens: Children often think the bigger number in a fraction means a bigger part
  Fix: Use visual examples like cutting a pizza into 3 pieces vs 2 pieces to show that 1/2 is actually bigger
• Mistake: Writing 2/4 as 1/2 but forgetting to simplify
  Why it happens: Not knowing how to reduce fractions to their simplest form
  Fix: Show that 2/4 = 1/2 by drawing a shape and shading 2 parts out of 4, then showing it's the same as shading 1 part out of 2
• Mistake: Adding fractions like 1/3 + 1/3 = 2/6
  Why it happens: Not understanding that when adding fractions with the same denominator, only the numerators are added
  Fix: Explain that 1/3 + 1/3 = 2/3 because we are adding 1 part and 1 part out of 3 parts

Parent and carer guide

Help your child by:

• Using everyday examples like sharing a cake or pizza
• Encouraging them to draw fractions to see the parts
• Practising with visual aids like fraction circles or bars
• Reinforcing that the bigger the bottom number, the smaller each part is
• Not pushing too hard – fractions take time to understand

Watch for:

• Confusion between numerator and denominator
• Trying to add fractions with different denominators
• Not understanding that fractions are parts of a whole

Remember: If your child is struggling, it’s okay to go back to simple pictures or real food examples to build understanding.

Practice questions

1. What fraction of a pizza is eaten if 3 slices are taken from a pizza cut into 8 slices?
2. If a chocolate bar is split into 6 pieces and you eat 2 pieces, what fraction have you eaten?
3. Draw a shape and shade 1/4 of it
4. Which is bigger: 1/3 or 1/5?
5. If a map is 10 inches long and you cut it into 5 equal parts, what fraction of the map is each part?

Answers:

1. 3/8
2. 2/6 = 1/3
3. Draw a shape divided into 4 equal parts and shade 1 part
4. 1/3 is bigger
5. 1/5

FAQ

What is a fraction?

A fraction is a way to show a part of a whole. It has two numbers: the top number (numerator) shows how many parts you have, and the bottom number (denominator) shows how many equal parts the whole is split into.

How do I know which fraction is bigger?

If the fractions have the same bottom number, the one with the bigger top number is bigger. If they have different bottom numbers, you can compare them by drawing pictures or finding a common bottom number.

Can fractions be more than 1?

Yes! If you have 5 pieces of cake and each piece is 1/4 of a cake, you have 5/4, which is more than one whole cake.

Why do we use fractions?

Fractions help us share things fairly, like food, treasure, or time. They are used in cooking, science, and many other real-life situations.

How can I practice fractions at home?

You can practice by sharing food, using fraction circles, drawing shapes, or playing games that involve splitting things into equal parts.